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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 436 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−1/4) − (−5/7)? (a) 4/11 (b) 13/28 (c) −27/28 (d) −13/28
  2. 2.What is 1/2 + (−5/6)? (a) 4/3 (b) 1/3 (c) −1/2 (d) −1/3
  3. 3.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  4. 4.What is (−2/7) + 1/5? (a) 3/35 (b) −1/12 (c) −3/35 (d) −17/35
  5. 5.Is 6/6 positive or negative? (a) Negative (b) Positive
  6. 6.What is the additive inverse of −2/5? (a) −2/5 (b) −5/2 (c) 5/2 (d) 2/5
  7. 7.What is (−2/7) + (−3/5)? (a) −31/35 (b) 31/35 (c) 11/35 (d) −5/12
  8. 8.What is (−3/4) − (−1/6)? (a) −7/12 (b) 7/12 (c) −11/12 (d) −1/5
  9. 9.Is 2/7 positive or negative? (a) Positive (b) Negative
  10. 10.Which is smaller: −3/4 or −2/9? (a) −3/4 (b) −2/9
  11. 11.Which is bigger: −7/8 or −3/8? (a) −7/8 (b) −3/8
  12. 12.What is (−6/7) − 1/2? (a) 19/14 (b) −5/14 (c) −7/9 (d) −19/14
  13. 13.Which is smaller: −1/3 or −3/8? (a) −3/8 (b) −1/3
  14. 14.Is −7/(−4) positive or negative? (a) Positive (b) Negative
  15. 15.What is 4/7 + (−2/3)? (a) −2/21 (b) 2/21 (c) 26/21 (d) 1/5
  16. 16.Is −1/5 positive or negative? (a) Negative (b) Positive
  17. 17.What is 5/6 + (−1/4)? (a) −7/12 (b) 2/5 (c) 13/12 (d) 7/12
  18. 18.What is (−2/7) − (−2/3)? (a) 8/21 (b) −8/21 (c) 0 (d) −20/21
  19. 19.What is (−6/7) + 1/5? (a) −5/12 (b) −23/35 (c) 23/35 (d) −37/35
  20. 20.Write −12/32 in standard form (lowest terms, positive denominator). (a) −12/32 (b) −8/3 (c) −3/8 (d) 3/8
  21. 21.Write −35/45 in standard form (lowest terms, positive denominator). (a) −35/45 (b) −7/9 (c) −9/7 (d) 7/9
  22. 22.Write −8/28 in standard form (lowest terms, positive denominator). (a) −7/2 (b) −2/7 (c) 2/7 (d) −8/28
  23. 23.What is (−1/5) − 2/7? (a) −1/4 (b) 3/35 (c) 17/35 (d) −17/35
  24. 24.What is (−5/6) + (−2/3)? (a) 3/2 (b) −1/6 (c) −7/9 (d) −3/2
  25. 25.What is (−7/8) − 3/8? (a) 5/4 (b) −1/2 (c) −5/8 (d) −5/4
  26. 26.Is 9/(−2) positive or negative? (a) Positive (b) Negative
  27. 27.What is 1/4 − (−7/8)? (a) −9/8 (b) 2/3 (c) 9/8 (d) −5/8
  28. 28.Is 5/3 positive or negative? (a) Positive (b) Negative
  29. 29.What is 5/8 − (−1/7)? (a) 27/56 (b) 2/5 (c) 43/56 (d) −43/56
  30. 30.Which is bigger: −1/5 or 5/8? (a) −1/5 (b) 5/8
  31. 31.What is (−1/9) − 4/7? (a) 43/63 (b) 29/63 (c) −43/63 (d) −5/16
  32. 32.What is the reciprocal (multiplicative inverse) of 8/9? (a) −8/9 (b) 8/9 (c) 9/8 (d) −9/8
  33. 33.What is the additive inverse of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  34. 34.What is (−6/7) + (−3/4)? (a) −9/11 (b) −3/28 (c) −45/28 (d) 45/28
  35. 35.What is the reciprocal (multiplicative inverse) of 2/5? (a) −2/5 (b) 2/5 (c) −5/2 (d) 5/2
  36. 36.Is −7/(−2) positive or negative? (a) Positive (b) Negative
  37. 37.What is (−1/6) − 8/9? (a) −3/5 (b) −19/18 (c) 13/18 (d) 19/18
  38. 38.What is (−2/3) + 1/4? (a) 5/12 (b) −1/7 (c) −5/12 (d) −11/12
  39. 39.Is 5/6 positive or negative? (a) Negative (b) Positive
  40. 40.Write −2/14 in standard form (lowest terms, positive denominator). (a) −1/7 (b) −7/1 (c) 1/7 (d) −2/14

Answer key

  1. 13/28
  2. −1/3
  3. Negative
  4. −3/35
  5. Positive
  6. 2/5
  7. −31/35
  8. −7/12
  9. Positive
  10. −3/4
  11. −3/8
  12. −19/14
  13. −3/8
  14. Positive
  15. −2/21
  16. Negative
  17. 7/12
  18. 8/21
  19. −23/35
  20. −3/8
  21. −7/9
  22. −2/7
  23. −17/35
  24. −3/2
  25. −5/4
  26. Negative
  27. 9/8
  28. Positive
  29. 43/56
  30. 5/8
  31. −43/63
  32. 9/8
  33. −5/8
  34. −45/28
  35. 5/2
  36. Positive
  37. −19/18
  38. −5/12
  39. Positive
  40. −1/7

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